Math  /  Word Problems

QuestionFind the resultant velocity when crossing a river with a current of 15 m/s15 \mathrm{~m/s} downstream and crossing at 2 m/s2 \mathrm{~m/s} north.

Studdy Solution
Calculate the magnitude of the resultant velocity.
vresultant=225+4m/s=229m/s15.13m/s|\vec{v}_{resultant}| = \sqrt{225 +4} \, m/s = \sqrt{229} \, m/s \approx15.13 \, m/sThe resultant velocity is approximately 15.13m/s15.13 \, m/s in the direction of the vector vresultant=15i^+2j^\vec{v}_{resultant} =15 \hat{i} +2 \hat{j}.

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